Abstract
An assessment of the relative speeds and payload capacities of airborne and waterborne vehicles highlights a gap that can be usefully filled by a new vehicle concept, utilizing both hydrodynamic and aerodynamic forces. A high-speed marine vehicle equipped with aerodynamic surfaces is one such concept. In 1904, Bryan & Williams (Bryan & Williams 1904 Proc. R. Soc. Lond. 73, 100-116 (doi:10.1098/rspl.1904.0017)) published an article on the longitudinal dynamics of aerial gliders, and this approach remains the foundation of all the mathematical models studying the dynamics of airborne vehicles. In 1932, Perring & Glauert (Perring & Glauert 1932 Reports and Memoranda no. 1493) presented a mathematical approach to study the dynamics of seaplanes experiencing the planing effect. From this work, planing theory has developed. The authors propose a unified mathematical model to study the longitudinal stability of a high-speed planing marine vehicle with aerodynamic surfaces. A kinematics framework is developed. Then, taking into account the aerodynamic, hydrostatic and hydrodynamic forces, the full equations of motion, using a small perturbation assumption, are derived and solved specifically for this concept. This technique reveals a new static stability criterion that can be used to characterize the longitudinal stability of high-speed planing vehicles with aerodynamic surfaces.
| Language | English |
|---|---|
| Pages | 1055-1075 |
| Number of pages | 21 |
| Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 466 |
| Issue number | 2116 |
| DOIs | |
| Publication status | Published - 8 Apr 2010 |
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Keywords
- aerodynamic alleviation
- dynamics
- marine vehicle
- planing
- stability
- wing in ground
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The longitudinal static stability of an aerodynamically alleviated marine vehicle, a mathematical model. / Collu, Maurizio; Patel, Minoo H.; Trarieux, Florent.
In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 466, No. 2116, 08.04.2010, p. 1055-1075.Research output: Contribution to journal › Article
TY - JOUR
T1 - The longitudinal static stability of an aerodynamically alleviated marine vehicle, a mathematical model
AU - Collu, Maurizio
AU - Patel, Minoo H.
AU - Trarieux, Florent
PY - 2010/4/8
Y1 - 2010/4/8
N2 - An assessment of the relative speeds and payload capacities of airborne and waterborne vehicles highlights a gap that can be usefully filled by a new vehicle concept, utilizing both hydrodynamic and aerodynamic forces. A high-speed marine vehicle equipped with aerodynamic surfaces is one such concept. In 1904, Bryan & Williams (Bryan & Williams 1904 Proc. R. Soc. Lond. 73, 100-116 (doi:10.1098/rspl.1904.0017)) published an article on the longitudinal dynamics of aerial gliders, and this approach remains the foundation of all the mathematical models studying the dynamics of airborne vehicles. In 1932, Perring & Glauert (Perring & Glauert 1932 Reports and Memoranda no. 1493) presented a mathematical approach to study the dynamics of seaplanes experiencing the planing effect. From this work, planing theory has developed. The authors propose a unified mathematical model to study the longitudinal stability of a high-speed planing marine vehicle with aerodynamic surfaces. A kinematics framework is developed. Then, taking into account the aerodynamic, hydrostatic and hydrodynamic forces, the full equations of motion, using a small perturbation assumption, are derived and solved specifically for this concept. This technique reveals a new static stability criterion that can be used to characterize the longitudinal stability of high-speed planing vehicles with aerodynamic surfaces.
AB - An assessment of the relative speeds and payload capacities of airborne and waterborne vehicles highlights a gap that can be usefully filled by a new vehicle concept, utilizing both hydrodynamic and aerodynamic forces. A high-speed marine vehicle equipped with aerodynamic surfaces is one such concept. In 1904, Bryan & Williams (Bryan & Williams 1904 Proc. R. Soc. Lond. 73, 100-116 (doi:10.1098/rspl.1904.0017)) published an article on the longitudinal dynamics of aerial gliders, and this approach remains the foundation of all the mathematical models studying the dynamics of airborne vehicles. In 1932, Perring & Glauert (Perring & Glauert 1932 Reports and Memoranda no. 1493) presented a mathematical approach to study the dynamics of seaplanes experiencing the planing effect. From this work, planing theory has developed. The authors propose a unified mathematical model to study the longitudinal stability of a high-speed planing marine vehicle with aerodynamic surfaces. A kinematics framework is developed. Then, taking into account the aerodynamic, hydrostatic and hydrodynamic forces, the full equations of motion, using a small perturbation assumption, are derived and solved specifically for this concept. This technique reveals a new static stability criterion that can be used to characterize the longitudinal stability of high-speed planing vehicles with aerodynamic surfaces.
KW - aerodynamic alleviation
KW - dynamics
KW - marine vehicle
KW - planing
KW - stability
KW - wing in ground
UR - http://www.scopus.com/inward/record.url?scp=77950654327&partnerID=8YFLogxK
U2 - 10.1098/rspa.2009.0459
DO - 10.1098/rspa.2009.0459
M3 - Article
VL - 466
SP - 1055
EP - 1075
JO - Proceedings A: Mathematical, Physical and Engineering Sciences
T2 - Proceedings A: Mathematical, Physical and Engineering Sciences
JF - Proceedings A: Mathematical, Physical and Engineering Sciences
SN - 1364-5021
IS - 2116
ER -